190080142560 has 768 divisors, whose sum is σ = 835611033600. Its totient is φ = 39203481600.

The previous prime is 190080142547. The next prime is 190080142601. The reversal of 190080142560 is 65241080091.

190080142560 is a `hidden beast` number, since 1 + 9 + 0 + 0 + 80 + 14 + 2 + 560 = 666.

It is a super-2 number, since 2×190080142560² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 46234905 + ... + 46239015.

It is an arithmetic number, because the mean of its divisors is an integer number (1088035200).

Almost surely, 2^190080142560 is an apocalyptic number.

190080142560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 190080142560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417805516800).

190080142560 is an abundant number, since it is smaller than the sum of its proper divisors (645530891040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

190080142560 is a wasteful number, since it uses less digits than its factorization.

190080142560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4292 (or 4278 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 190080142560 in words is "one hundred ninety billion, eighty million, one hundred forty-two thousand, five hundred sixty".